Answer:
x = 5.5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define</u>
31 = x + 25.5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 25.5 on both sides: 5.5 = x
- Rewrite: x = 5.5
Answer:
1 . given
2. given
3. transitive properties of congruence ...
4 .AAS
Answer:
z<-4
Step-by-step explanation:
-2z-5>3
Add 5 to both sides.
-2z>8
Divide both sides by -2.
Z<-4
The sign must change because you are dividing by a negative.
Answer:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the z-score that has a p-value of
.
The margin of error is of:

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.
This means that 
95% confidence level
So
, z is the value of Z that has a p-value of
, so
.
Margin of error:



The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.